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Non-solvable finite groups with cyclic sylow p-subgroups have non-principal p-blocks

โœ Scribed by Gerhard O Michler


Book ID
107774617
Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
494 KB
Volume
83
Category
Article
ISSN
0021-8693

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On the Principal Blocks of Finite Groups
โœ Masato Sawabe; Atumi Watanabe ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 149 KB

Let p be a prime number and K be an algebraically closed field of characteristic p. Let G be a finite group and B be a (p-) block of G. We denote by l B the number of isomorphism classes of irreducible KG-modules in B. Let D be a defect group of B and let B 0 be the Brauer correspondent of B, that i